Having removed the bar on re-election, the convention then considered a proposal at the other extreme, the appointment of a chief magistrate 'during good behaviour'---that is to say for as long as the holder of the office wished to remain, assuming he was not removed under the provisions for impeachment. Again, the desire to grant the magistrate 'independence' was the principle behind such a proposal. The phrase 'during good behaviour' was one principally associated at the time with judicial appointments.

This proposal failed, as did a subsequent one to re-open the question of the length of term without specifying any particular answer.